Question: Under Hypotheses (H_{0}) and (H_{1}), a random variable has the following probability density functions Choosing (H_{0}) when (H_{1}) is true costs twice as much as

Under Hypotheses $H_{0}$ and $H_{1}$, a random variable has the following probability density functions Po(x) = 1 |x|, |x| 1, 4 = 0, |x| > 2.

Choosing $H_{0}$ when $H_{1}$ is true costs twice as much as choosing $H_{1}$ when $H_{0}$ is true. Correct choices cost nothing. Find the minimax strategy for deciding between the two hypotheses.

Po(x) = 1 |x|, |x| 1, 4 = 0, |x| > 2.

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